Question

Ahmed and Karnia are building scenery of the Egyptian pyramids out of plywood for a community play. They pyramids are represented by triangles on a rectangular base
A.) how many square feet of plywood is in the scenery? Show your work

B.) the pyramids (the triangles) will be painted gray, and the base(the rectangle) will be painted black. How much of each paint color will they use, if one quart covers 45 square feet? Only one side of the model needs to be painted, but two coats of paint will be needed. Show your work. Round to the nearest hundredth of a square foot

Answer 1

A.)
 The first thing we must do for this case is to find the area of ​​the complete figure.
 We have then:
 Triangle 1:
 A1 = (1/2) * (1.5) * (1)
 A1 = 0.75 feet ^ 2
 Triangle 2:
 A2 = (1/2) * (1.5) * (2)
 A2 = 1.5 feet ^ 2
 Triangle 3:
 A3 = (1/2) * (0.75) * (1)
 A3 = 0.375 feet ^ 2
 Rectangle:
 A4 = (5) * (0.75)
 A4 = 3.75 feet ^ 2
 Adding the areas we have:
 A = A1 + A2 + A3 + A4
 A = 0.75 + 1.5 + 0.375 + 3.75
 A = 6.375 feet ^ 2
 Answer:
 there are 6,375 feet ^ 2 of plywood in the scenery

 B.)
 Triangles:
 A = A1 + A2 + A3
 A = 0.75 + 1.5 + 0.375
 A = 2,625 feet ^ 2
 Two layers of paint:
 A = 5.25 feet ^ 2 <45 feet ^ 2
 Rectangle:
 A = 3.75 feet ^ 2
 Two layers of paint:
 A = 7.5 feet ^ 2 <45 feet ^ 2
 Answer:
 One quart of each color is needed.